International Conference on Topology and Topological Methods

This track focuses on the fundamental principles and concepts of topology, including open and closed sets, continuity, and compactness. It aims to explore the foundational aspects that underpin various topological theories.

This session will delve into the study of topological spaces with algebraic methods, emphasizing homology and cohomology theories. Participants are encouraged to present innovative approaches and applications of algebraic topology in various mathematical contexts.

This track examines the interplay between differential geometry and topology, focusing on smooth manifolds and differentiable mappings. Contributions may include discussions on the topology of differentiable structures and their applications in mathematical physics.

This session highlights the study of low-dimensional manifolds and their geometric structures. Topics may include knot theory, 3-manifolds, and the relationships between geometric and topological properties.

This track is dedicated to the exploration of homotopy theory, including homotopy groups and their applications in various branches of mathematics. Researchers are invited to discuss advancements in homotopical algebra and its implications for topology.

This session focuses on the mathematical study of knots, including their classification, invariants, and applications. Participants are encouraged to present novel findings and methodologies in the analysis of knot structures.

This track explores the intersection of topology and group theory, focusing on the properties and applications of topological groups. Discussions may include the role of continuity in group operations and the implications for algebraic topology.

This session will investigate the theories of homology and cohomology, emphasizing their applications in various mathematical fields. Participants are invited to share insights on new developments and techniques in these areas.

This track examines the role of category theory in the study of topological spaces and continuous mappings. Contributions may include categorical approaches to topology and their implications for other mathematical disciplines.

This session focuses on the principles and applications of fixed point theorems in topology. Researchers are encouraged to discuss both classical results and contemporary advancements in this area.

This track addresses the computational aspects of topology, including algorithms and software for topological data analysis. Participants are invited to present innovative methods and applications of computational techniques in topology.